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Simplifying 3(2t + -6) = -2(3t + -8) Reorder the terms: 3(-6 + 2t) = -2(3t + -8) (-6 * 3 + 2t * 3) = -2(3t + -8) (-18 + 6t) = -2(3t + -8) Reorder the terms: -18 + 6t = -2(-8 + 3t) -18 + 6t = (-8 * -2 + 3t * -2) -18 + 6t = (16 + -6t) Solving -18 + 6t = 16 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -18 + 6t + 6t = 16 + -6t + 6t Combine like terms: 6t + 6t = 12t -18 + 12t = 16 + -6t + 6t Combine like terms: -6t + 6t = 0 -18 + 12t = 16 + 0 -18 + 12t = 16 Add '18' to each side of the equation. -18 + 18 + 12t = 16 + 18 Combine like terms: -18 + 18 = 0 0 + 12t = 16 + 18 12t = 16 + 18 Combine like terms: 16 + 18 = 34 12t = 34 Divide each side by '12'. t = 2.833333333 Simplifying t = 2.833333333
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